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Finding the Fourth Proportional to 877.85, 1,210.59 and 678.37

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Solution

The fourth proportional to 877.85, 1,210.59 and 678.37 is: 935.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.85 : 1,210.59 = 678.37 : x
  2. Step 2: Convert to fraction form
    877.85/1,210.59 = 678.37/x
  3. Step 3: Cross multiply
    877.85x = 1,210.59 × 678.37
  4. Step 4: Simplify right side
    877.85x = 821,221.89
  5. Step 5: Solve for x
    x = 821,221.89/877.85
  6. Step 6: Final answer
    x = 935.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.